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GalinKa [24]
3 years ago
15

Question 11 of 20 : Select the best answer for the question. 11. Find the value of x in the equation 2(x – 3) + 5x = 5(2x + 6).

A. 2 B. –12 C. 12 D. –2
Mathematics
2 answers:
vaieri [72.5K]3 years ago
6 0
It should be D. -2 Since the x Is subtracting from 5 over 3 and you need to do Inverse Operation making it Negative so yeah, -2
Hitman42 [59]3 years ago
3 0
2(x-3)+5x=5(2x+6) --- Distribute
2x-6+5x=10x+30 --- Combine like terms
7x-6=10x+30 --- Subtract x from both sides
-6=3x+30 --- Subtract 30 from both sides
-36=3x --- Divide both sides by 3
x=-12 (B)
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Andrew needs a ladder to hang hoilday lights. His house is 24ft tall and he has a flower bef that extends 4 ft out from the side
elena-14-01-66 [18.8K]

Answer: 24.33\ ft

Step-by-step explanation:

You need to draw a Right triangle as the one attached, where "x" is the lenght of a ladder Andrew will need to reach the top and be out of the flower bed.

You must apply the Pythagorean Theorem. This is:

a^2=b^2+c^2

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If you solve for "a", you get:

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In this case, you can identify in the figure that:

a=x\\\\b=24\ ft\\\\c=4\ ft

Therefore, knowing those values, you can substitute them into  a=\sqrt{b^2+c^2} and then you must evaluate, in order to find the value of "x".

This is:

x=\sqrt{(24\ ft)^2+(4\ ft)^2}\\\\x=24.33 ft

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